Symmetric interacting particle systems: Self-duality and hydrodynamics in dynamic random environment

In this thesis, we study scaling and detailed properties of a class of conservative interacting particle systems. In particular, in the first part we derive the hydrodynamic equation for the symmetric exclusion process in presence of dynamic random environment. The second part of the thesis focuses on a detailed property of conservative particle...

Duality in interacting particle systems out of equilibrium

In this thesis we study a class of interacting particle systems sharing a duality property. This class includes the Symmetric Inclusion Process (SIP(2k)), the Symmetric Exclusion Process (SEP(2j)) and the Independent Random Walkers (IRW). When these systems are in equilibrium (namely they are isolated from the exterior) they admit stationary...

Orthogonal Dualities of Markov Processes and Unitary Symmetries

We study self-duality for interacting particle systems, where the particles move as continuous time random walkers having either exclusion interaction or inclusion interaction. We show that orthogonal self-dualities arise from unitary symmetries of the Markov generator. For these symmetries we provide two equivalent expressions that are related...

White Elephant: Investigating Transgressive Practices of the Excluded

The project "White Elephant" investigates the relationship between individual and the public space by looking at the practices of the "Homo-Sacers" who are excluded from the public sphere, yet occupying the public space. By analyzing how they inhabit and appropriate the space for their needs, the research brings up important questions about how...

Atelier Femme: A womens club & shelter

Recent international events, such as the 2018 Women’s March and the MeToo movement, show an increasing awareness for gender biases present in society and governments. One of the consequences of a disempowered female position is the ‘feminization of poverty’, which is an phenomenon referring to the widening gap between women and men caught in a...

Orthogonal Stochastic Duality Functions from Lie Algebra Representations

We obtain stochastic duality functions for specific Markov processes using representation theory of Lie algebras. The duality functions come from the kernel of a unitary intertwiner between ∗-representations, which provides (generalized) orthogonality relations for the duality functions. In particular, we consider representations of the...

The dual effects of the Internet of Things (IoT): A systematic review of the benefits and risks of IoT adoption by organizations

The Internet of Things (IoT) might yield many benefits for organizations, but like other technology adoptions may also introduce unforeseen risks and requiring substantial organizational transformations. This paper analyzes IoT adoption by organizations, and identifies IoT benefits and risks. A Big, Open, Linked Data (BOLD) categorization of...

Maassilo as a transshipment society: establishing historical consistency

Today, the re-introduction of industrial heritage into the contemporary city, requires a parallel design process that equally involves thorough value assessments and addressing current social necessities. Looking at historic ports, the way this approach can consciously establish a long term impact for the city has been tested in cases such as...

Quantitative Boltzmann–Gibbs Principles via Orthogonal Polynomial Duality

We study fluctuation fields of orthogonal polynomials in the context of particle systems with duality. We thereby obtain a systematic orthogonal decomposition of the fluctuation fields of local functions, where the order of every term can be quantified. This implies a quantitative generalization of the Boltzmann–Gibbs principle. In the...

The consumer-citizen duality: Ten reasons why citizens prefer safety and drivers desire speed

Cost-benefit analyses for transportation projects usually value impacts on safety and travel time through experiments in which consumers of mobility (‘drivers’) choose between routes which differ in safety and travel time. This approach has been criticized for failing to consider that private choices may not fully reflect citizens’...

Factorized Duality, Stationary Product Measures and Generating Functions

We find all self-duality functions of the form (Formula presented.)for a class of interacting particle systems. We call these duality functions of simple factorized form. The functions we recover are self-duality functions for interacting particle systems such as zero-range processes, symmetric inclusion and exclusion processes, as well as...

Ceramic Centre with Duality

On the duality of globally constrained separable problems and its application to distributed signal processing

In this paper, we focus on the challenge of processing data generated within decentralised wireless sensor networks in a distributed manner. When the desired operations can be expressed as globally constrained separable convex optimisation problems, we show how we can convert these to extended monotropic programs and exploit Lagrangian duality...

ICT as enabler or inhibitor of Lean Six Sigma Process Improvement

Efficient Pricing of Early: Exercise and Exotic Options Based on Fourier Cosine Expansions

In the financial world, two tasks are of prime importance: model calibration and portfolio hedging. For both tasks, efficient option pricing is necessary, particularly for the calibration where many options with different strike prices and different maturities need to be priced at the same time. Therefore, a fast yet accurate pricing method is a...

Counting sequences, Gray codes and lexicodes

A counting sequence of length n is a list of all 2^n binary n-tuples (binary codewords of length n). The number of bit positions where two codewords differ is called the Hamming distance of these two codewords. The average Hamming distance of a counting sequence of length n is defined as the average Hamming distance between the 2^n pairs of...